Two numbers are co-prime if they have no common factors (other than
1). By drawing Venn diagrams or otherwise, decide whether each pair of
numbers is co- prime.
a) 105 and 429 b) 63 and 715 C) 121 and 175 d) 455 and 693

Answer:

x = + - 3(y-2)

this it ut

Answer:

It will be the oval, yw :)

nth number is 83 hope you understand my answer thanks

Answer: 3n^2 + 8

Step-by-step explanation:

an^2 + bn + c

It is a quadratic sequence

11, 20, 35, 56, 83

 +8 +15 +21 +27

    +6   +6   +6

a + b + c

4a + 2b + c

9a + 3b + c

4a + 2b + c - a + b + c = 20 - 11

4a + 2b + c - a + b + c = 9

3a + b = 9

9a + 3b + c - 4a + 2b + c = 35 - 20

5a + b = 15

-2a = -6

a = -6/-2

a = 3

Substitute to find the values of b & c

For b

5(3) + b = 15

15 + b = 15

b = 15 - 15

b = 0

For c

9(3) + 3(0) + c = 35

27 + c = 35

c = 35 - 27

c = 8

3n^2 + 0n + 8

3n^2 + 8

Answer:

The slope is [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

Take the general equation of a straight line [tex]y = mx+c[/tex]

Here [tex]m[/tex] is the slope of the line.

So let's get the equation of the line in the question in the same form.

[tex]-48 = 2x-8y[/tex]

Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]

Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]

Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]

Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]

Answer:

10d

Step-by-step explanation:

6d+5 =11d

2-3d = -1d

11d-1d= 10d

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

Answer: B or D

Step-by-step explanation:

Karens ration is 5:15 whilst chens is 6:19

1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3

I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.

Answer:

Chen: 6/19

Step-by-step explanation:

Anne: 2/14 = 0.142

Karen: 5/15 = 0.133

Janice: 4/14 = 0.285

Chen: 6/19 = 0.316

Answer:  Choice A.   4 times

========================================================

Explanation:

We'll be using this formula

[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).

To start things off, we'll compute the AROC from x = 1 to x = 2.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]

Do the same for the AROC from x = 3 to x = 4.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.

Answer:

when you divide you get -11/12

if you have a calculator you could add the 5/8 and 3/4

then add the -2/3 and the -5/6

then divide the first answer by the second answer

Answer:

[tex] \frac{( \frac{5}{8} + \frac{3}{4}) }{( - \frac{ 2}{3} - \frac{5}{6} )} \\ \\ \\ \frac{( \frac{5}{8} + \frac{6}{8}) }{( - \frac{4}{6} - \frac{5}{6} ) } \\ \\ \\ \frac{ (\frac{5 + 6}{8}) }{( \frac{ - 4 - 5}{6} )} = \frac{( \frac{11}{8} )}{( - \frac{9}{6} )} \\ \\ \\ \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ \\ \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ \\ = - \frac{11}{12} \\ \\ \\ = - 0.91666[/tex]

I hope I helped you^_^

Answer:

shorter piece is 28.8 inches

Step-by-step explanation:

Answer28.8

Step-by-step explanation:

28.8 x 5 = 144

Check the image below

1 + 1 = 2

Have a beautiful and joyful day ahead.

Answer:

1+1= 2

have a nice day stay safe <3

Answer:

1. reflection over y axis

2. dilation over the origin with scale factor of 3

Step-by-step explanation:

1. reflection about y axis

2. dilation over the origin (0,0) with scale factor of 3

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

The answer is 15m

Step-by-step explanation:

The meaning whole number means an actual whole number, decimals are just part's of a whole number, so excluding decimals:

If you look at 5 and compare it to 3 following next, 3 is not higher then 5 and therefore is rounded down.

Hope this helps!

Answer:

-11-10=-21

-21-9= -30

Answer:

(-0.4)²

= -0.4×-0.4

product of two negative numbers is positive

so, 0.4×0.4

=4/10×4/10

=16/100

=0.16

Answer:

other apples should also be taken by another person and Bryan had no apples left.

Step-by-step explanation:

Answer:

x is 90 because it is a right triangle

Answer:

A mayb

Step-by-step explanation:

175/ 1/3

=58+17

=75

Answer:

slope is positive 2/1

Step-by-step explanation:

Answer:

a) the slope is 2 because the line goes from (4,1) to (5,3)

I d k any of the bonus questions tho sorryyyy

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Yo use gauth mathhhhhhh

Answer:

105 miles

Step-by-step explanation:

The ratio you have is 1:15

So you must multiply 7 by 15 to find the actual distance in miles.

7*15=105

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

Answer:

y = -2x + 9 or y = 9 - 2x

Step-by-step explanation:

First find the gradient

Next, look at where the line intercepts (goes through) the y-axis: 9

The equation of the line is y = -2x + 9

Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.

Hope this helps!

Answer:

Step-by-step explanation:

i am not really fully sure

The given highest power of x in the given function, y = 4·x + 2, is 1,

therefore, the graph of the function is a straight line.

The statement that correctly compares the function shown on the graph

with the function; y = 4·x + 2 is; C. The function shown on the graph has a

smaller rate of change but a higher starting point.

Reasons:

The given function is; y = 4·x + 2

Comparing with the equation for a straight line; y = m·x + c, we have;

The rate of change or slope, m = 4

The y-intercept, starting point, c = 2

Two points on the function shown on the graph are; (0, 4), and (-2, -2)

The slope of the given graph is therefore;

[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]

The rate of change of the graph, m = 3

The equation of the graph is therefore;

y - 4 = 3·(x - 0)

Which gives;

y = 3·x + 4

The y-intercept, starting point of the graph, is therefore, c = 4

Which gives;

The function shown on the graph has a higher starting point but a smaller rate of change than the given function.

Learn more here:

https://brainly.com/question/18194679